#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using ll = long long; using namespace std; const int M = 1e9 + 7; int main() { ios::sync_with_stdio(false); int n, s, k; cin >> n >> s >> k; int st = k * n * (n - 1) / 2; vector> dp(n + 1, vector(s + 1)); dp[0][0] = 1; if (st > s) { cout << 0 << endl; } else { s -= st; for (int i = 1; i <= n; i++) { for (int j = 0; j <= s; j++) { if (j - i >= 0) dp[i][j] = (dp[i][j - i] + dp[i - 1][j]) % M; else dp[i][j] = dp[i - 1][j]; } } cout << dp[n][s] << endl; } return 0; }